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1-Section 11.1: Calculus
1-Section 11.1: Calculus
11
Mathematics
Undergraduate 1
08/19/2016

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Cards

Term
How Do You Find A Limit to a function as "x" approaches "A", by looking at a graph?
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Definition
Find the "y" value on the graph that corresponds with where x is "A" on the graph.
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The corresponding "y" value is the solution.
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Term
What is the Solution to This Problem?:
lim f(x)=A when "x" approaches "B"
lim g(x)=C when "x" approaches "B"
What is lim (f(x)-g(x))?
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Definition
The Solution Is:
A-C
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Term
What is the Solution to This Problem?:
lim f(x)=A when "x" approaches "B"
lim g(x)=C when "x" approaches "B"
What is (f(x)/g(x))?
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Definition
The Solution Is:
A/C
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Term
What is the Solution to This Problem?:
lim f(x)=A when "x" approaches "B"
What is lim (sqrt(f(x)))?
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Definition
(sqrt(A))
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Term
What is the solution to this problem?:

lim f(x)=A when "x" approaches B
lim g(x)=C when "x" approaches B

lim ((f(x)+g(x))/(D*g(x)))
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Definition
The Solution Is:
lim ((A+C)/(D*C))
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Term
What is the Solution To This Problem?:

Factor: ((x^2)-Ax-(A*10)
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Definition
(x-10)(x+A)
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Term
What is the Solution To This Problem?:

Factor: ((x^2)-Ax-(A*8)
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Definition
(x-8)(x+A)
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Term
What is the Solution To This Problem?:

Factor: ((x^2)-Ax-(A*B)
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Definition
(x-B)(x+A)
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Term
What is the Solution To This Problem?:

Factor: ((x^2)+Ax-(A*B)
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Definition
1.) There are Two Numbers That When Added Together Equal Positive "A", but when Multiplied Together Equal Negative "B".
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2.) Set these two numbers to equal "C" and "D" respectively.
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3.)Your Solution Will Be:
(x+C)(x-D)
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Term
What is the Solution to This Problem?:
lim (((sqrt x) - A)/(x-(A^2))
When x approaches A^2
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Definition
1/(A*2)
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Term
What is the Solution to This Problem?:
lim (((sqrt x) - (sqrt A))/(x-A))
When x approaches A
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Definition
((sqrt A) / (A*2))
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